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Finding the Fourth Proportional to 214,683.75, 322,025.76 and 66,939.75

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Solution

The fourth proportional to 214,683.75, 322,025.76 and 66,939.75 is: 100,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,683.75 : 322,025.76 = 66,939.75 : x
  2. Step 2: Convert to fraction form
    214,683.75/322,025.76 = 66,939.75/x
  3. Step 3: Cross multiply
    214,683.75x = 322,025.76 × 66,939.75
  4. Step 4: Simplify right side
    214,683.75x = 21,556,323,867.96
  5. Step 5: Solve for x
    x = 21,556,323,867.96/214,683.75
  6. Step 6: Final answer
    x = 100,409.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.